Upload New File

Ex_2_7.py

+#!/usr/bin/env python3
+# -*- coding: utf-8 -*-
+"""
+Created on Thu Mar  2 11:40:38 2023
+
+@author: delvigne
+"""
+
+
+'''
+Exercice 2.7 - Simulation of a continuous bioreactor
+'''
+
+import numpy as np
+from scipy.integrate import solve_ivp
+from matplotlib.pyplot import figure
+from matplotlib.pyplot import plot
+from matplotlib.pyplot import xlabel
+from matplotlib.pyplot import ylabel
+
+
+def Continuous(t, state):
+    X = state[0]
+    S = state[1]
+    
+    mumax = 0.6 #in h-1
+    Ks = 0.01 #in g/L
+    Yxs = 0.5 #in g per g
+    D = 0.8 #Dilution rate in h-1
+    Sin = 15
+    rx = mumax*(S/(Ks+S))*X
+    
+    if t<10:
+        D=0
+    
+    dXdt = rx -D*X
+    dSdt = -rx/Yxs - D*S + D*Sin
+    state = [dXdt,dSdt]
+    return state
+
+'''Specify the time range for running the simulation'''
+t = np.linspace(0,30)
+
+
+'''Specify the initial conditions'''
+state0 = [0.1,5] #We have 0.1 g/L of biomass and 5 g/L of substrate at the beginning of the simulation
+
+'''Solve the ODEs'''
+r = solve_ivp(fun=Continuous, t_span=[t[0],max(t)],y0=state0, t_eval=t, method='LSODA')
+
+figure(1)
+plot(r.t,r.y.T)
+xlabel('Time (h)')
+ylabel('X, S (g/L)')